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Finding the Fourth Proportional to 453.06, 675.67 and 442.02

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Solution

The fourth proportional to 453.06, 675.67 and 442.02 is: 659.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.06 : 675.67 = 442.02 : x
  2. Step 2: Convert to fraction form
    453.06/675.67 = 442.02/x
  3. Step 3: Cross multiply
    453.06x = 675.67 × 442.02
  4. Step 4: Simplify right side
    453.06x = 298,657.44
  5. Step 5: Solve for x
    x = 298,657.44/453.06
  6. Step 6: Final answer
    x = 659.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.